Question

Express each as a trigonometric function of a single angle measure.

Sin 3Ꮎ cos 2Ꮎ + cos 3Ꮎ sin 2Ꮎ

Answer 1

Using your angle sum formula, you can see that this is sin(A+B).

3 theta is your A, 2 theta is your B.

To combine these, plug them into the simple sin(A+B) formula.

sin(3theta + 2theta)

sin(5theta) is your answer.